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Finding the Third Proportional to 180,185,507 and 393,399,088

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Solution

The third proportional to 180,185,507 and 393,399,088 is: 858,908,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,185,507 : 393,399,088 = 393,399,088 : x
  2. Step 2: Convert to fraction form
    180,185,507/393,399,088 = 393,399,088/x
  3. Step 3: Cross multiply
    180,185,507x = 393,399,088 × 393,399,088
  4. Step 4: Simplify right side
    180,185,507x = 154,762,842,439,231,744
  5. Step 5: Solve for x
    x = 154,762,842,439,231,744/180,185,507
  6. Step 6: Final answer
    x = 858,908,382.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.